… Geometrically, the joint range of k affine forms is a zonotope in a k-dimensional space that
is generated by the vectors of shared noise symbols, and centered around the vector of the …

… In contrast, zonotopes and constrained zonotopes can be propagated efficiently using
conservative linearization techniques, but the results can be conservative when the linearization …

… Here, g0, g1...gd−1 are generators and the vector c is the center of the zonotope, to which
zonotope is centrally symmetric. An example of overapproximation by zonotope is presented …

… for a given dimension while the complexity of zonotopes can be arbitrary. In terms of accuracy,
… (2) and (3); while zonotopes are closed under affine transformations as well as Minkowski …

… that zonotopes, and thus zonoids are centrally symmetric. Moreover K is a zonotope if and …
A zonoid K ∈ Z (ΛkV ) is a Grassmannian zonotope if there exists subspaces E1,...,En ∈ G(k, …

… For comparison, the measured forces are superimposed over the force zonotope generated
by our model in Fig. 4.7a- 4.7d. To quantify the accuracy of the model, we defined the error …

… complexity of a zonotope Z, the bound xc(Z) ≤ 2m thus immediately follows from the
definition. A lattice Λ ⊆ Rd is said to be zonotopal if its Voronoi cell is a zonotope. Every lattice of …

… zonotope. In this paper, the determinantal volume formulas of parallelotopes and zonotopes
… determinantal volume formulas of parallelotopes and zonotopes are derived in three cases: …

… [74] are: Box, Zonotope and Polyhedra. Box is the simplest one and works by simply
defining an interval for each dimension; Zonotope uses zonotopes which are center-symmetric …

Deep neural networks have been widely applied as an effective approach to handle complex
and practical problems. However, one of the most fundamental open problems is the lack …